Essential Maths for Geoscientists
Essential Maths for Geoscientists

Author: Paul I. Palmer

Publisher: John Wiley & Sons

Published: 2014-06-16

Total Pages: 216

ISBN-13: 0470971932

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Essential Maths for Geoscientists: An Introduction is an accessible, student-friendly introduction to the mathematics required by those students taking degree courses within the geosciences. Clearly structured throughout, this book carefully guides students step by step through the first mathematics they will encounter and provides numerous applied examples throughout to enhance students’ understanding and to place each technique in context. Opening with a chapter explaining the need for studying mathematics within geosciences, this book then moves on to cover algebra, solving equations, logarithms and exponentials, uncertainties, errors and statistics, trigonometry, vectors and basic calculus. The final chapter helps to bring the subject all together and provides detailed applied questions to test students’ knowledge. Worked applied examples are included in each chapter along with applied problem questions which are a mix of straightforward maths questions, word questions and more involved questions that involve the manipulation and interpretation of real and synthetic data. The emphasis in the book is on the application of relatively rudimentary mathematics to real-life scientific problems within the geosciences, enabling students to make use of current-day research problems and real datasets.

Essential Maths for Geoscientists
Essential Maths for Geoscientists

Author: Paul I. Palmer

Publisher: John Wiley & Sons

Published: 2014-04-11

Total Pages: 224

ISBN-13: 111852702X

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Maths for Geoscientists is an accessible, student-friendly introduction to the essential mathematics required by those students taking degree courses within the Geosciences. Clearly structured throughout, this book carefully guides the student step by step through the mathematics they will encounter and will provide numerous applied examples throughout to enhance students understanding and to place each technique into context. Opening with a chapter explaining the need for studying mathematics within geosciences the book then moves on to cover algebra, equations, solutions, logarithms and exponentials, statistics and probability, trigonometry, vectors and calculus. The final chapter helps to bring it all together and provides the students with sample projects to test their knowledge. Worked applied examples are included in each chapter along with applied problem questions which are a mix of straightforward maths questions, word questions (developing maths to words), and more involved questions that involve the manipulation and interpretation of real and synthetic data.

Introductory Mathematics for Earth Scientists
Introductory Mathematics for Earth Scientists

Author: Xin-She Yang

Publisher: Dunedin Academic Press

Published: 2009

Total Pages: 0

ISBN-13: 9781906716004

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Any quantitative work in earth sciences requires mathematical analysis. Many mathematical methods are essential to the modeling and analysis of the geological, geophysical, and environmental processes widely studied in earth sciences. This book provides an introduction to the fundamental mathematics that all earth scientists need. Assuming nor more than a standard secondary school level as its starting point, the book is self-contained and provides an essential toolkit of basic mathematics for earth scientists. The topics of earth sciences are vast and multidisciplinary, and consequently the mathematical tools required by its students are diverse and complex. Introductory Mathematics for Earth Scientists strikes a fine balance between coverage and detail. Topics have been selected to provide a concise but comprehensive introductory coverage of all the major and popular mathematical methods. The book offers a 'theorem-free' approach with an emphasis on practicality. With dozens of step-by-step worked examples, the book is especially suitable for non-mathematicians and geoscientists. The topics include binomial theorem, index notations, polynomials, sequences and series, trigonometry, spherical trigonometry, complex numbers, vectors and matrices, ordinary differential equations, partial differential equations, Fourier transforms, numerical methods, and geostatistics. Introductory Mathematics for Earth Scientists introduces a wide range of fundamental and widely-used, mathematical methods. This book is ideal for both undergraduate students and postgraduate students. Additionally, it is a helpful reference for more advanced scientists.

Handbook of Mathematical Geosciences
Handbook of Mathematical Geosciences

Author: B.S. Daya Sagar

Publisher: Springer

Published: 2018-06-25

Total Pages: 911

ISBN-13: 3319789996

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This Open Access handbook published at the IAMG's 50th anniversary, presents a compilation of invited path-breaking research contributions by award-winning geoscientists who have been instrumental in shaping the IAMG. It contains 45 chapters that are categorized broadly into five parts (i) theory, (ii) general applications, (iii) exploration and resource estimation, (iv) reviews, and (v) reminiscences covering related topics like mathematical geosciences, mathematical morphology, geostatistics, fractals and multifractals, spatial statistics, multipoint geostatistics, compositional data analysis, informatics, geocomputation, numerical methods, and chaos theory in the geosciences.

Computational Methods for Geodynamics
Computational Methods for Geodynamics

Author: Alik Ismail-Zadeh

Publisher: Cambridge University Press

Published: 2010-07-22

Total Pages: 333

ISBN-13: 1139489356

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Written as both a textbook and a handy reference, this text deliberately avoids complex mathematics assuming only basic familiarity with geodynamic theory and calculus. Here, the authors have brought together the key numerical techniques for geodynamic modeling, demonstrations of how to solve problems including lithospheric deformation, mantle convection and the geodynamo. Building from a discussion of the fundamental principles of mathematical and numerical modeling, the text moves into critical examinations of each of the different techniques before concluding with a detailed analysis of specific geodynamic applications. Key differences between methods and their respective limitations are also discussed - showing readers when and how to apply a particular method in order to produce the most accurate results. This is an essential text for advanced courses on numerical and computational modeling in geodynamics and geophysics, and an invaluable resource for researchers looking to master cutting-edge techniques. Links to supplementary computer codes are available online.

Rock Fractures in Geological Processes
Rock Fractures in Geological Processes

Author: Agust Gudmundsson

Publisher: Cambridge University Press

Published: 2011-04-28

Total Pages: 593

ISBN-13: 1139500694

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Rock fractures control many of Earth's dynamic processes, including plate-boundary development, tectonic earthquakes, volcanic eruptions, and fluid transport in the crust. An understanding of rock fractures is also essential for effective exploitation of natural resources such as ground water, geothermal water, and petroleum. This book combines results from fracture mechanics, materials science, rock mechanics, structural geology, hydrogeology, and fluid mechanics to explore and explain fracture processes and fluid transport in the crust. Basic concepts are developed from first principles and illustrated with worked examples linking models of geological processes to real field observations and measurements. Many additional examples and exercises are provided online, allowing readers to practise formulating and quantitative testing of models. Rock Fractures in Geological Processes is designed for courses at the advanced undergraduate and graduate level but also forms a vital resource for researchers and industry professionals concerned with fractures and fluid transport in the Earth's crust.

52 Things You Should Know about Geophysics
52 Things You Should Know about Geophysics

Author: Matt Hall

Publisher: Agile Libre

Published: 2012

Total Pages: 134

ISBN-13: 0987959409

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There is something for every subsurface professional in these fifty-two short essays by more than three dozen petroleum geoscientists. The roster includes some of the most prolific geophysicists of our time, as well as some recently qualified scientists. The topics are even more diverse, ranging from anisotropic media to pre-stack interpretation, and from stories of early seismic workstations to career advice for the future.

Mathematics and Climate
Mathematics and Climate

Author: Hans Kaper

Publisher: SIAM

Published: 2013-10-18

Total Pages: 303

ISBN-13: 1611972612

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Mathematics and Climate is a timely textbook aimed at students and researchers in mathematics and statistics who are interested in current issues of climate science, as well as at climate scientists who wish to become familiar with qualitative and quantitative methods of mathematics and statistics. The authors emphasize conceptual models that capture important aspects of Earth's climate system and present the mathematical and statistical techniques that can be applied to their analysis. Topics from climate science include the Earth?s energy balance, temperature distribution, ocean circulation patterns such as El Ni?o?Southern Oscillation, ice caps and glaciation periods, the carbon cycle, and the biological pump. Among the mathematical and statistical techniques presented in the text are dynamical systems and bifurcation theory, Fourier analysis, conservation laws, regression analysis, and extreme value theory. The following features make Mathematics and Climate a valuable teaching resource: issues of current interest in climate science and sustainability are used to introduce the student to the methods of mathematics and statistics; the mathematical sophistication increases as the book progresses and topics can thus be selected according to interest and level of knowledge; each chapter ends with a set of exercises that reinforce or enhance the material presented in the chapter and stimulate critical thinking and communication skills; and the book contains an extensive list of references to the literature, a glossary of terms for the nontechnical reader, and a detailed index.